Modular operads are mathematical devices used for describing local-to-global features of higher genus (algebraic) structures. I develop graphical machinery for working with (higher) modular operads and similar structures, and study the role of cycles in their complexity.
Work together with Luciana Bonatto, Saffiah Chettih, Abigail Linton, Marcy Robertson and Nathalie Wahl.
This project aims to build theoretical tools for translating between the formal theory of networks and significant societal challenges presented by data and technology. In particular, I am interested in forming collaborations to develop modular operadic techniques for improving the efficiency and transparency of AI applications.